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amm1812
3 years ago
6

2. A series of five constant dollar (or real-dollar) payments, beginning with $6,000 at the end of the first year, are increasin

g at the rate of 5% per year. Assume that the average general inflation rate is 4%, and the market interest rate is 11% during this inflationary period. What is the equivalent present worth of the series
Business
1 answer:
Komok [63]3 years ago
8 0

Answer:

The equivalent present worth of the series is $27,211.16.

Explanation:

The first thing to do is to calculate the real interest using the following formula:

1 + i = (1 + r)(1 + inf) ..................... (1)

Where;

i = market interest rate = 11%, or 0.11

r = real interest rate = ?

inf = average general inflation rate = 4%, or 0.04

Substituting the values into equation (1) and solve for r, we have:

1 + 0.11 = (1 + r)(1 + 0.04)

1 + r = 1.11 / 1.04

1 + r = 1.06730769230769

r =  1.06730769230769 – 1

r = 0.06730769230769

The equivalent present worth of the series can now be calculated using the formula for calculating the present value (PV) of a growing annuity as follows:

PVga = (P / (r - g)) * (1 - ((1 + g) / (1 + r))^n) .................... (2)

Where;

PVga = present value of a growing annuity or equivalent present worth of the series = ?

P = constant dollar (or real-dollar) payments = $6,000

r = real interest rate = 0.06730769230769

g = growth rate of payments = 5%, or 0.05

n = number of years = 5

Substituting the values into equation (2), we have:

PVga = (6000 / (0.06730769230769 - 0.05)) * (1 - ((1 + 0.05) / (1 + 0.06730769230769))^5)

PVga = 346,666.666666712 * 0.078493722845371

PVga = $27,211.16

Therefore, the equivalent present worth of the series is $27,211.16.

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Answer:

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Explanation:

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3 years ago
For each item described: Identify the type of account (Asset, Liability, Equity, Revenue or Gain, Expense or Loss), normal balan
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Answer:

Identification of Type of Account, etc.:

Letter  Account

2.         Sales & Services  

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In a simple economy​ (assume there are no​ taxes, thus Y is disposable​ income), the consumption function is Upper C equals 1000
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Answer:

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Given C = 1000 + 0.9Y

Autonomous consumption refers to consumption expenditure of consumers that does not depend on income. Therefore, autonomous consumption is therefore the consumption expenditure made by the consumers when they do not have income or when income is zero (i.e. when Y = 0).

Substituting for Y = 0 into the consumption function, we can obtain autonomous consumption is follows:

Autonomous consumption = 1000 + (0.9 * 0) = 1,000

The marginal propensity to consume refers to the proportion of the increase in disposable income that is spent on the consumption of goods and services by a consumer. From the consumption function, the marginal propensity to consume is 0.9.

Since marginal propensity to consume is 0.9, a consumer whose income increases by​ $100 will therefore increase consumption by $90 (i.e. $100 * 0.9 = $90).

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Answer:

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In the short run,  if many firms enter the computer software industry and consequently bid up the price of programmers, then the increase in participation will increase the number of software developed.

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